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14781680 = 245434297
BaseRepresentation
bin111000011000…
…110011110000
31000210222122122
4320120303300
512241003210
61244453412
7236433164
oct70306360
930728578
1014781680
118386771
124b4a268
1330a7174
141d6aca4
15146eb55
hexe18cf0

14781680 has 40 divisors (see below), whose sum is σ = 35174832. Its totient is φ = 5773824.

The previous prime is 14781673. The next prime is 14781691. The reversal of 14781680 is 8618741.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14781680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292 + ... + 5588.

Almost surely, 214781680 is an apocalyptic number.

14781680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587416).

14781680 is an abundant number, since it is smaller than the sum of its proper divisors (20393152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14781680 is a wasteful number, since it uses less digits than its factorization.

14781680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 14781680 is about 3844.6950464244. The cubic root of 14781680 is about 245.4188586767.

The spelling of 14781680 in words is "fourteen million, seven hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 4297 8594 17188 21485 34376 42970 68752 85940 171880 184771 343760 369542 739084 923855 1478168 1847710 2956336 3695420 7390840 14781680